2. (15 pts) What are the semimajor axis and eccentricity of a lunar arrival orbit at arrival at the sphere of influence if a spacecraft trajectory has the following properties relative to the Moon: Velocity v2 = 1.2500 km/sec Flight path angle 2 = 78.040 deg. (inside the local horizon) Use lunar SOI relative to Earth= 66,183 km Due to sensitivity to exact values, use 5 or 6 significant figures in your calculations. For simplification: All orbits are coplanar and the Moon is in a circular orbit around the Earth.